Question

What is the standard form of `y=(x^2 + 3)^2`?

Answer 1

`x^4 + 6x^2 +9`

Explanation:

To write in standard form expand the brackets and collect like terms.

`(x^2 + 3 )^2 = (x^2 + 3 )(x^2 + 3 ) = x^2(x^2 + 3 ) + 3(x^2 + 3 )`

multiply out brackets : `x^4 + 3x^2 +3x^2 + 9 = x^4 + 6x^2 + 9`